Uniform domains and quasiconformal mappings on the Heisenberg groups.
Uniform domains of higher order. II.
Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces
We discuss relations between uniform minimality, unconditionality and interpolation for families of reproducing kernels in backward shift invariant subspaces. This class of spaces contains as prominent examples the Paley-Wiener spaces for which it is known that uniform minimality does in general neither imply interpolation nor unconditionality. Hence, contrarily to the situation of standard Hardy spaces (and of other scales of spaces), changing the size of the space seems necessary to deduce unconditionality...
Uniformisation en dimension trois
Uniformization of Surfaces of Genus Two with Automorphisms.
Uniformizing functions for certain Shimura curves, in the case D=6
Uniformly convex functions
Recently, A. W. Goodman introduced the geometrically defined class UCV of uniformly convex functions on the unit disk; he established some theorems and raised a number of interesting open problems for this class. We give a number of new results for this class. Our main theorem is a new characterization for the class UCV which enables us to obtain subordination results for the family. These subordination results immediately yield sharp growth, distortion, rotation and covering theorems plus sharp...
Uniformly convex functions II
Recently, A. W. Goodman introduced the class UCV of normalized uniformly convex functions. We present some sharp coefficient bounds for functions f(z) = z + a₂z² + a₃z³ + ... ∈ UCV and their inverses . The series expansion for converges when , where depends on f. The sharp bounds on and all extremal functions were known for n = 2 and 3; the extremal functions consist of a certain function k ∈ UCV and its rotations. We obtain the sharp bounds on and all extremal functions for n = 4, 5,...
Uniformly convex spiral functions and uniformly spirallike functions associated with Pascal distribution series
The aim of this paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in the classes and of uniformly spirallike functions. Further, we consider an integral operator related to Pascal distribution series. Several corollaries and consequences of the main results are also considered.
Uniformly perfect sets, Green's function, and fundamental domains.
Uniformly quasiregular semigroups in two dimensions.
Uniformly starlike and convex univalent functions by using certain integral operators.
Uniformly starlike and uniformly convex functions pertaining to special functions.
Uniformly starlike functions and uniformly convex functions related to the Pascal distribution
In this article, we aim to find sufficient conditions for a convolution of analytic univalent functions and the Pascal distribution series to belong to the families of uniformly starlike functions and uniformly convex functions in the open unit disk . We also state corollaries of our main results.
Uniformly wiggly domains and radial variation.
Unique range sets and uniqueness polynomials in positive characteristic
Unique range sets and uniqueness polynomials in positive characteristic II
Unique range sets in positive characteristic
Uniquely ergodic quadratic differentials.
Uniquely Factorizable Entire Functions under Composition.